What is (-3)^3-2(-3)^2+3(-3)+5 ?

The solution to (-3)^3-2(-3)^2+3(-3)+5 is -49

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(-3)^3-2(-3)^2+3(-3)+5

(- 3)^{3} - 2 (- 3)^{2} + 3 (- 3) + 5

- 49

Solution steps

(- 3)^{3} - 2 (- 3)^{2} + 3 (- 3) + 5

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= - 27 - 2 (- 3)^{2} + 3 (- 3) + 5

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= - 27 - 2 \cdot 9 + 3 (- 3) + 5

Multiply and divide (left to right)

2 \cdot 9 : 18

2 \cdot 9

2 \cdot 9 = 18

= 18

= - 27 - 18 + 3 (- 3) + 5

Multiply and divide (left to right)

3 (- 3) : - 9

3 (- 3)

Apply rule

a \cdot (- b) = - a \cdot b

3 (- 3) = - 3 \cdot 3 = - 9

= - 9

= - 27 - 18 - 9 + 5

Add and subtract (left to right)

- 27 - 18 - 9 + 5 : - 49

- 27 - 18 - 9 + 5

- 27 - 18 = - 45

= - 45 - 9 + 5

- 45 - 9 = - 54

= - 54 + 5

- 54 + 5 = - 49

= - 49

= - 49

12 \times 3 - 3 \times 4 - 2 + 6

- 4 (2) + 1

- 4 (2) + 4

- 4 (2) + 6

\frac{9 + 30 \div 2}{10 - 5 ^{2} ( 4 )}